Reference
F.Kasch, Projective Frobenius-Erweiterungen. Sitzungsber. Heidelberger Akad. Wiss., 89–109 (1960/61).
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Kitamura, Y. A characterization of a trivial extension which is a Frohenius one. Arch. Math 34, 111–113 (1980). https://doi.org/10.1007/BF01224939
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DOI: https://doi.org/10.1007/BF01224939